107157829 has 2 divisors, whose sum is σ = 107157830. Its totient is φ = 107157828.

The previous prime is 107157823. The next prime is 107157839. The reversal of 107157829 is 928751701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56776225 + 50381604 = 7535^2 + 7098^2 .

It is a cyclic number.

It is not a de Polignac number, because 107157829 - 2⁵ = 107157797 is a prime.

It is a super-2 number, since 2×107157829² = 22965600631986482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107157791 and 107157800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107157823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53578914 + 53578915.

It is an arithmetic number, because the mean of its divisors is an integer number (53578915).

Almost surely, 2^107157829 is an apocalyptic number.

It is an amenable number.

107157829 is a deficient number, since it is larger than the sum of its proper divisors (1).

107157829 is an equidigital number, since it uses as much as digits as its factorization.

107157829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35280, while the sum is 40.

The square root of 107157829 is about 10351.7065742804. The cubic root of 107157829 is about 474.9792478468.

The spelling of 107157829 in words is "one hundred seven million, one hundred fifty-seven thousand, eight hundred twenty-nine".